Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons. See Site Map

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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46 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   Step 1 Stick diagram and fractions/
  19.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  20.    wt: 1:   Mathematics Skills Year by Year/
  21.    wt: 1:   1 Five Polynomial Operations/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  35.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  37.    wt: 1:   5 Real Numbers/
  38.    wt: 1:   4 Computation Rules and Function Notation/
  39.    wt: 1:   Time Date Matters/
  40.    wt: 1:   Skills with take home value/
  41.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   5 Lessons on Integration/
  43.    wt: 1:   13 Lessons on Limits and Continuity/
  44.    wt: 1:   Volume 2 Three Skills For Algebra/
  45.    wt: 1:   Work and Study Tips/
  46.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

370 matches:

  1.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 3:   B Fractions and Two Term Ratios
  3.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  4.    wt: 3:   9 Improper Fractions and Mixed Numbers
  5.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  6.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   Ramblings Extrinsic numbers theory
  9.    wt: 2:   2 Reading and Writing Skills
  10.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  11.    wt: 2:   Vector and Complex Number Applet
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  15.    wt: 2:   3 Trigonometric Ratios sine and cosine
  16.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  17.    wt: 2:   3 Lengths and Areas on Maps and Plans
  18.    wt: 2:   11 Signed Number Addition and Addition Properties
  19.    wt: 2:   8 Division and Mulplication of Compound Fractions
  20.    wt: 2:   2 Combing Counts Addition Skills and Principles
  21.    wt: 2:   4 Rates Ratios and Proporitionality
  22.    wt: 2:   2 More and Less Than for Counts and Measures
  23.    wt: 2:   10 Real Number Lengths and Signs
  24.    wt: 2:   5 Rational Numbers More
  25.    wt: 2:   4 Rational Numbers
  26.    wt: 2:   1 Whole and Natural Numbers
  27.    wt: 2:   5 Talking about Numbers and Quantities
  28.    wt: 2:   4 A Brief Story of numbers and algebra
  29.    wt: 2:   1 More and Less Than for Counts and Measures
  30.    wt: 2:   11 What are real lengths and numbers
  31.    wt: 2:   5 lengths and signs of numbers
  32.    wt: 2:   2 signed and unsigned numbers as coordinates
  33.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  34.    wt: 2:   3 Multiplying Units and Numbers
  35.    wt: 2:   2 Equality and Units
  36.    wt: 2:   21 Reciprocals for Fractions and Wholes
  37.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  38.    wt: 2:   8 What skills and work habits to require
  39.    wt: 2:   6. Counting and adding units and mixed units
  40.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  41.    wt: 2:   Quick history of numbers and algebra
  42.    wt: 2:   Exact Arithmetic Wholes and Fractions
  43.    wt: 2:   38 Formulas and derivatives for powers and roots
  44.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  45.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  46.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  47.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  48.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  49.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  50.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  51.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  52.    wt: 2:   I. Logic and language skills
  53.    wt: 2:   How to Build Skills and Confidence
  54.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  55.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  56.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  57.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  58.    wt: 1:   Appendix 1 primary and preschool mathematic
  59.    wt: 1:   G LAMP Introduction Problem Solving Skills
  60.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  61.    wt: 1:   Skills Chapter 5 Calculus
  62.    wt: 1:   Skills Chapter 4 Logic
  63.    wt: 1:   Skills Chapter 3 Algebra
  64.    wt: 1:   Skills Chapter 2 Geometry
  65.    wt: 1:   Skills Chapter 1 Arithmetic
  66.    wt: 1:   Skills Chapter 0 Introduction
  67.    wt: 1:   7 logic review and decimals an odd combination
  68.    wt: 1:   5 logarithms and exponentials etc
  69.    wt: 1:   2 arithmetic with signed numbers
  70.    wt: 1:   1 arithmetic with unsigned numbers
  71.    wt: 1:   key notes and themes
  72.    wt: 1:   what should be learnt and When
  73.    wt: 1:   standards for course material
  74.    wt: 1:   Operational Viewpoint to Value
  75.    wt: 1:   Theory of Knowledge
  76.    wt: 1:   Education in mathematics science and technology
  77.    wt: 1:   Motivation and Context Problem
  78.    wt: 1:   fairness and inductive principles for instruction
  79.    wt: 1:   Home Tutoring and Home Schooling
  80.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  81.    wt: 1:   24 Standards For Skill Develoment Take II
  82.    wt: 1:   24 Standards For Skill Develoment
  83.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  84.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  85.    wt: 1:   17 Math Booklets for children and young teenagers
  86.    wt: 1:   14 Multiplication and Times Tables
  87.    wt: 1:   13 Addition and Addition Tables
  88.    wt: 1:   12 Goals and Objectives For Mathematics
  89.    wt: 1:   11 Help and Defend Your Child or Teens Education
  90.    wt: 1:   9 Streaming by Student Cooperation
  91.    wt: 1:   5 Patience Please for Yourself and Your Charges
  92.    wt: 1:   4 Learning Takes Time and Effort
  93.    wt: 1:   1 Speaking Skills
  94.    wt: 1:   Ages 12 to 14 Skills with take home value
  95.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  96.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  97.    wt: 1:   26 Function definitions done and coming
  98.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  99.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  100.    wt: 1:   19 Horizontal line rule and method
  101.    wt: 1:   18 Vertical Line Rule and Method
  102.    wt: 1:   17 Function maxima minima and their location
  103.    wt: 1:   11 Function Domain Range Source and Targets
  104.    wt: 1:   9 Set theory term relation possible origins
  105.    wt: 1:   8 Set view of relations and functions
  106.    wt: 1:   6 Set Existence Formation and Notation
  107.    wt: 1:   4 Function notation in and beyond mathematics
  108.    wt: 1:   9 quadratics physical and further context
  109.    wt: 1:   11 Growth and Decay in Biology
  110.    wt: 1:   10 Exponential Growth and Decay Models
  111.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  112.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  113.    wt: 1:   16 cotangent function Definition Graph and Inverse
  114.    wt: 1:   15 cosecant function Definition Graph and Inverse
  115.    wt: 1:   14 secant function Definition Graph and Inverse
  116.    wt: 1:   13 cosecant function Definition Graph and Inverse
  117.    wt: 1:   9 Summary Degrees to Radians and back
  118.    wt: 1:   1 Degrees and Radians Introduction
  119.    wt: 1:   A Global Time and Navigation
  120.    wt: 1:   15 Dot and Cross Product
  121.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  122.    wt: 1:   Parallel Lines and Parallel Transversals
  123.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  124.    wt: 1:   Parallel Lines and Interior Angles
  125.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  126.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  127.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  128.    wt: 1:   29 secant cosecant and cotangent for acute angles
  129.    wt: 1:   27 Logarithmic use of products of sines and cosines
  130.    wt: 1:   26 Formulas for products of sines and cosines
  131.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  132.    wt: 1:   21 sine and cosine Half Angle Formulas
  133.    wt: 1:   20 sine and cosine Double Angle Formulas
  134.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  135.    wt: 1:   17E Trig Formulas for dot and cross Products
  136.    wt: 1:   17D cis formulas for sine cosines and tangent
  137.    wt: 1:   17C sine and cosine double triple angle formulas
  138.    wt: 1:   17A The complex number valued trig function cis
  139.    wt: 1:   10 Graphs of sines and cosines many periods
  140.    wt: 1:   9 Graphs of sine and cosine over one period
  141.    wt: 1:   7 period of sine and cosine
  142.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  143.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  144.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  145.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  146.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  147.    wt: 1:   21 Logarithms Powers and Exponentials
  148.    wt: 1:   20 N th Roots of Complex Numbers
  149.    wt: 1:   16 References and Originality Question
  150.    wt: 1:   13 Trig Formulas for dot and cross Products
  151.    wt: 1:   12 cis formulas for sine cosines and tangent
  152.    wt: 1:   11 sine and cosine double triple angle formulas
  153.    wt: 1:   9 The complex number valued trig function cis
  154.    wt: 1:   6 Field Properties of Complex Number
  155.    wt: 1:   2 Complex Numbers made easier we hope
  156.    wt: 1:   Appetizer A Complex Number Applet
  157.    wt: 1:   7 Trignometric Ratios Unit Circle
  158.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  159.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  160.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  161.    wt: 1:   8 Similarity of Triangles and Polygons
  162.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  163.    wt: 1:   10 Midpoint of [a b] and [b a]
  164.    wt: 1:   7 Exercises to test skill and concept mastery
  165.    wt: 1:   1 Numerical view of lines and their equations
  166.    wt: 1:   What is and is not here
  167.    wt: 1:   11 Triangle Inequality
  168.    wt: 1:   7 Complex Numbers Appetizer
  169.    wt: 1:   6 Polar Multiplication and Rotation
  170.    wt: 1:   5 Cartesian Addition and Translation
  171.    wt: 1:   4 Polar Coordinates to and from
  172.    wt: 1:   PS H Distributive Law For Complex Numbers
  173.    wt: 1:   16 Angles Subtended By Chords and Diameters
  174.    wt: 1:   6 Ruler and compass Angle Bisection
  175.    wt: 1:   1 Initial Concepts and Terms
  176.    wt: 1:   musings do not puiblish real numbers
  177.    wt: 1:   A Modular and Remainder Arithmetic
  178.    wt: 1:   A Signed Number Arithmetic Review
  179.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  180.    wt: 1:   22 Multiplication of Signed Numbers
  181.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  182.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  183.    wt: 1:   13 Arrows and Vectors in a Plane
  184.    wt: 1:   12 Real Numbers Line Signed Coordinates
  185.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  186.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  187.    wt: 1:   1 Fractions with Finite Decimal Expansions
  188.    wt: 1:   B Decimal Comparison and Subtraction
  189.    wt: 1:   5 Distributive Law for Whole Numbers
  190.    wt: 1:   3 Multiplicative Counting Skills Principles
  191.    wt: 1:   1 The Counting Origins of Numbers
  192.    wt: 1:   4 Fraction Operations Axiomatic Development
  193.    wt: 1:   2 Fraction Operations Physical Development
  194.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  195.    wt: 1:   5 Proportionality in Equivalent Fractions
  196.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  197.    wt: 1:   6 Compound Interest Forward and Backwards
  198.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  199.    wt: 1:   6 Equations and Systems Equivalent or Implied
  200.    wt: 1:   5 Equality in Algebra
  201.    wt: 1:   4 Subtraction and Division Axioms
  202.    wt: 1:   2 Addition and Multiplication Axioms
  203.    wt: 1:   4 Comparison of Negative Numbers
  204.    wt: 1:   3 More and Less Than with Unlike Signs
  205.    wt: 1:   1 Real Numbers Comparison
  206.    wt: 1:   16 Real Numbers Comparison
  207.    wt: 1:   15 Real Number Division
  208.    wt: 1:   14 Real Number Multiplication
  209.    wt: 1:   13 Real Number Subtraction
  210.    wt: 1:   12 Real Number Additive Inverses or Negatives
  211.    wt: 1:   11 Real Number Addition
  212.    wt: 1:   8 Coordinates for Maps and Planes
  213.    wt: 1:   7 Real Numbers as Line Cordinates
  214.    wt: 1:   6 Unsigned Real Numbers
  215.    wt: 1:   3 Fractions
  216.    wt: 1:   3 Geometric Formulas and Function Notation
  217.    wt: 1:   1 Formulas Dependence and Function Notation
  218.    wt: 1:   3 GE III Equation Addition and Multiplication
  219.    wt: 1:   1 Written work formats for developing and showing skill
  220.    wt: 1:   9 Sets in Probability and Statistics
  221.    wt: 1:   8 Sets of Numbers
  222.    wt: 1:   1 Three Skills For Algebra
  223.    wt: 1:   3 Comparison of Negative Numbers
  224.    wt: 1:   2 More and Less Than with Unlike Signs
  225.    wt: 1:   1 Squares and Square Roots Introduction
  226.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  227.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  228.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  229.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  230.    wt: 1:   7 GCD and LCM from prime factorization
  231.    wt: 1:   4 LCM of 8 and 10 via Prime
  232.    wt: 1:   3 Counting with Tables and Trees II
  233.    wt: 1:   2 Counting with Tables and Trees I
  234.    wt: 1:   1 Counting and Counting Methods I
  235.    wt: 1:   10 dividing signed numbers
  236.    wt: 1:   9 subtracting signed numbers
  237.    wt: 1:   8 multiplying signed numbers
  238.    wt: 1:   7 negative and additive inverse
  239.    wt: 1:   6 adding signed numbers
  240.    wt: 1:   3 signed coordinates for maps and planes
  241.    wt: 1:   6 Simplification of Fractions with Units
  242.    wt: 1:   4 Fractions with Units
  243.    wt: 1:   1 Addition and Subtraction with Units
  244.    wt: 1:   D Three Term Ratios
  245.    wt: 1:   22 Complex Compound Fractions
  246.    wt: 1:   20 Dividing Fractions the Why
  247.    wt: 1:   19 Dividing Fractions How TO
  248.    wt: 1:   17 Efficient Ways to Add and Subtract
  249.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  250.    wt: 1:   14 Adding and Subtracting with Like Denominators
  251.    wt: 1:   6 Multiplication of Mixed Numbers
  252.    wt: 1:   5 Equivalent Fractions
  253.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  254.    wt: 1:   11 Adding Integers Formulas and Examples
  255.    wt: 1:   8 Multiplication by Signed Numbers Integers
  256.    wt: 1:   6 Multiplication by Natural Numbers
  257.    wt: 1:   5 Zero Movement and Additive Inverses
  258.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  259.    wt: 1:   17 Identify and Count Factors using Primes
  260.    wt: 1:   12 LCD GCD and LCM using Primes
  261.    wt: 1:   7 Calculator Usage Notes and Cautions
  262.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  263.    wt: 1:   5 Prime Factorization and a Square Rule
  264.    wt: 1:   3 video Primes and Composites from 9 times table
  265.    wt: 1:   2 Prime and Composites less than 16
  266.    wt: 1:   Division with Counts and Length
  267.    wt: 1:   Long Division forwards and backwards Example 3
  268.    wt: 1:   Long Division forwards and backwards Example 2
  269.    wt: 1:   Long Division forwards and backwards Example 1
  270.    wt: 1:   10 Division by Five Long and Short Ways
  271.    wt: 1:   4 Two and Three Digit Multipliers
  272.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  273.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  274.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  275.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  276.    wt: 1:   7 Adding decimal fractions using decimal point
  277.    wt: 1:   11 Place Value SI Standard International way
  278.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  279.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  280.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  281.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  282.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  283.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  284.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  285.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  286.    wt: 1:   016 Numbering Occidental Calendar Days
  287.    wt: 1:   015 School and work day counting tables
  288.    wt: 1:   011 Division of Time Intervals By Numbers
  289.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  290.    wt: 1:   4 Mixing and Changing Units of Time
  291.    wt: 1:   3 Units and Lengths of Time
  292.    wt: 1:   2 Time and Date Matters in School
  293.    wt: 1:   1 Intro of Kids To Time Date Skills
  294.    wt: 1:   Example 1. Area Between x and x squared
  295.    wt: 1:   1 Chain Rule in Reverse Integration Method
  296.    wt: 1:   28 Chain Rule Preparation for a Proof
  297.    wt: 1:   17 Derivatives of quotients of sine and cosine
  298.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  299.    wt: 1:   15 sine and cosine derivatives 3rd step
  300.    wt: 1:   14 sine and cosine derivatives 2nd step
  301.    wt: 1:   13 sine and cosine derivatives 1st step
  302.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  303.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  304.    wt: 1:   9 Limits Continuity and Composition
  305.    wt: 1:   5 Jumps and absence of unlimited error control
  306.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  307.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  308.    wt: 1:   PostScript For and Against Decimal Perspectives
  309.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  310.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  311.    wt: 1:   Chapter 22 Complex Numbers
  312.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  313.    wt: 1:   Chapter 18. Slopes Areas Integration
  314.    wt: 1:   Chapter 13. Acceleration
  315.    wt: 1:   Chapter 12. Units and Slopes
  316.    wt: 1:   Chapter 10 Slopes and Units
  317.    wt: 1:   Chapter 7 Slopes and Velocity
  318.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  319.    wt: 1:   Chapter 2. Slopes and Ski Trails
  320.    wt: 1:   Appendix E. How To Study Mathematics and Why
  321.    wt: 1:   Appendix D. What to do in School and Why
  322.    wt: 1:   Chapter 31 Direct and Indirect Reason
  323.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  324.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  325.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  326.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  327.    wt: 1:   Chapter 20. Degrees and Radians
  328.    wt: 1:   Chapter 19. Functions and Sets
  329.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  330.    wt: 1:   Chapter 12. Shorthand Usage Guide
  331.    wt: 1:   Chapter 11. Why Shorthand
  332.    wt: 1:   Chapter 10 Describing and Changing Calculations
  333.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  334.    wt: 1:   Chapter 8 Three Skills For Algebra
  335.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  336.    wt: 1:   Chapter 2 For and Against Mathematics
  337.    wt: 1:   Postscript B More on Story Telling and Reason
  338.    wt: 1:   Chapter 24 Direct and Indirect Reason
  339.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  340.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  341.    wt: 1:   Chapter 18 Sense and Knowledge
  342.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  343.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  344.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  345.    wt: 1:   R Why Learn Mathematics Skills
  346.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  347.    wt: 1:   O On Learning Mathematics and Science
  348.    wt: 1:   L Skills with take home value
  349.    wt: 1:   N Improving Marks on Tests and Finals
  350.    wt: 1:   J. More on written work and showing skill
  351.    wt: 1:   H Jigsaw puzzles and problem solving
  352.    wt: 1:   G. Written work formats for developing and showing skill
  353.    wt: 1:   E. When and how to correct errors
  354.    wt: 1:   Chapter 8 Skipped Topics and Why
  355.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  356.    wt: 1:   Chapter 6 More Algebra and Geometry
  357.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  358.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  359.    wt: 1:   7 Games and Activities for Instruction
  360.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  361.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  362.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  363.    wt: 1:   Helping the Blind in Logic and Mathematics
  364.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  365.    wt: 1:   More Algebra and Slope based Calculus Preview
  366.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  367.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  368.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  369.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  370.    wt: 1:   The Math Forum and Site Content

Extended Search

734 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  3.    wt: 9:   3 Multiplying Units and Numbers
  4.    wt: 9:   2 Equality and Units
  5.    wt: 9:   21 Working With Signs
  6.    wt: 9:   18 Efficient Ways to Multiply
  7.    wt: 9:   16 Addition Subtraction Comparision Compared
  8.    wt: 9:   13 Fraction Comparison Algebraic View
  9.    wt: 9:   12 Fraction Comparison
  10.    wt: 9:   11 Simplification an Algebraic View
  11.    wt: 9:   8 Numerals Fractionals Quantals Take II
  12.    wt: 9:   7 Numerals Fractionals Quantals
  13.    wt: 9:   6 Multiplication Algebraically Take II
  14.    wt: 9:   4 Fraction Multiplication
  15.    wt: 9:   3 Unit fraction of a fraction
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 8:   3 Comparison of Negative Numbers
  20.    wt: 8:   2 More and Less Than with Unlike Signs
  21.    wt: 8:   11 What are real lengths and numbers
  22.    wt: 8:   5 lengths and signs of numbers
  23.    wt: 8:   2 signed and unsigned numbers as coordinates
  24.    wt: 8:   6 Simplification of Fractions with Units
  25.    wt: 8:   4 Fractions with Units
  26.    wt: 8:   1 Addition and Subtraction with Units
  27.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  28.    wt: 8:   8 What skills and work habits to require
  29.    wt: 8:   6. Counting and adding units and mixed units
  30.    wt: 7:   4 Greater More Less Than Signs in General
  31.    wt: 7:   1 Squares and Square Roots Introduction
  32.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  33.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  34.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  35.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  36.    wt: 7:   7 GCD and LCM from prime factorization
  37.    wt: 7:   4 LCM of 8 and 10 via Prime
  38.    wt: 7:   3 Counting with Tables and Trees II
  39.    wt: 7:   2 Counting with Tables and Trees I
  40.    wt: 7:   1 Counting and Counting Methods I
  41.    wt: 7:   10 dividing signed numbers
  42.    wt: 7:   9 subtracting signed numbers
  43.    wt: 7:   8 multiplying signed numbers
  44.    wt: 7:   7 negative and additive inverse
  45.    wt: 7:   6 adding signed numbers
  46.    wt: 7:   3 signed coordinates for maps and planes
  47.    wt: 7:   7 Converting or Changing Units
  48.    wt: 7:   6 Multiplication by Natural Numbers
  49.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  50.    wt: 7:   17 Identify and Count Factors using Primes
  51.    wt: 7:   12 LCD GCD and LCM using Primes
  52.    wt: 7:   7 Calculator Usage Notes and Cautions
  53.    wt: 7:   5 Prime Factorization and a Square Rule
  54.    wt: 7:   3 video Primes and Composites from 9 times table
  55.    wt: 7:   2 Prime and Composites less than 16
  56.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  57.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  58.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  59.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  60.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  61.    wt: 7:   7 Adding decimal fractions using decimal point
  62.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  63.    wt: 7:   Quick history of numbers and algebra
  64.    wt: 7:   Exact Arithmetic Wholes and Fractions
  65.    wt: 6:   5 Square Roots with primes more still
  66.    wt: 6:   4 Square Roots with primes more
  67.    wt: 6:   3 Properties of Square Roots with example
  68.    wt: 6:   2 Square Roots with Prime
  69.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  70.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  71.    wt: 6:   13 GCD from given Prime Factorization
  72.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  73.    wt: 6:   8 GCD from Euclidean Algorithm
  74.    wt: 6:   6 GCD from Prime
  75.    wt: 6:   5 Common Divisors 60 45 via Prime
  76.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  77.    wt: 6:   2 Least Common Multiple LCM intro via list method
  78.    wt: 6:   1 Least Common Multiples LCM Introduction
  79.    wt: 6:   12 GCD 2700 288 via Prime
  80.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  81.    wt: 6:   4 Counting with Trees Product Rule Take I
  82.    wt: 6:   4 signed coordinates for regions in space
  83.    wt: 6:   11 Adding Integers Formulas and Examples
  84.    wt: 6:   8 Multiplication by Signed Numbers Integers
  85.    wt: 6:   5 Zero Movement and Additive Inverses
  86.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  87.    wt: 6:   26 Divisibility by 2 3 5 Example
  88.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  89.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  90.    wt: 6:   23 Remainder Arithmetic Modulo 2
  91.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  92.    wt: 6:   21 Remainder Arithmetic Modulo 3
  93.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  94.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  95.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  96.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  97.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  98.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  99.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  100.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  101.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  102.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  103.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  104.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  105.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  106.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  107.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  108.    wt: 6:   5 Remainder Arithmetic Modulo 5
  109.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  110.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  111.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  112.    wt: 6:   1 Remainder Arithmetic Modulo 10
  113.    wt: 6:   20 Uniqueness of Prime Factorization
  114.    wt: 6:   19 video Prime Factorization Unique
  115.    wt: 6:   18 video Count Factors given Prime Factorization
  116.    wt: 6:   16 video Factors of 980 using prime
  117.    wt: 6:   15 video Factors of 20 using Prime Factorization
  118.    wt: 6:   14 video Factors of 24 Take II
  119.    wt: 6:   13 video Factors of 24 using prime
  120.    wt: 6:   11 Efficient Square Rule Use
  121.    wt: 6:   10 video Prime Factorization upto 23 squared
  122.    wt: 6:   9 video Prime Factorization upto 19 squared
  123.    wt: 6:   8 video Prime Factorization upto 19
  124.    wt: 6:   4 video Prime Factorization Introduction
  125.    wt: 6:   1 video how Products are bigger than factor
  126.    wt: 6:   Division with Counts and Length
  127.    wt: 6:   Long Division forwards and backwards Example 3
  128.    wt: 6:   Long Division forwards and backwards Example 2
  129.    wt: 6:   Long Division forwards and backwards Example 1
  130.    wt: 6:   10 Division by Five Long and Short Ways
  131.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  132.    wt: 6:   6 Multiplication Commutes Order Not Important
  133.    wt: 6:   4 Two and Three Digit Multipliers
  134.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  135.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  136.    wt: 6:   Subtraction with J Conversions Example
  137.    wt: 6:   Subtraction Another Video Lesson
  138.    wt: 6:   9 22 Minute Subtraction Review Video
  139.    wt: 6:   8 Subtraction with Units of Measure
  140.    wt: 6:   5 A Tip for Efficent Subtraction
  141.    wt: 6:   2 Subtraction Easy Case Examples
  142.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  143.    wt: 6:   5. How to add decimals C. Examples
  144.    wt: 6:   4. How to add with decimals B with conversions
  145.    wt: 6:   3. How to add with decimals A sans conversions
  146.    wt: 6:   2 Decimal Counting Practices
  147.    wt: 6:   1. Explaining Addition Table
  148.    wt: 6:   11 Place Value SI Standard International way
  149.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  150.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  151.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  152.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  153.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  154.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  155.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  156.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  157.    wt: 5:   arithmetic videos Real Player Format
  158.    wt: 5:   D Remainders Modulo 11 Pair Rule
  159.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  160.    wt: 5:   B Integer Long Division Multiple Choices
  161.    wt: 5:   A Associative Law Theorectical Note
  162.    wt: 5:   13 Subtraction with Additive Inverse
  163.    wt: 5:   12 Adding Integers More Examples
  164.    wt: 5:   10 Integer Multiplication Formulas
  165.    wt: 5:   9 Multiplying Integers
  166.    wt: 5:   7 Multiplication by Signs
  167.    wt: 5:   4 Adding Movements wiht opposite directions
  168.    wt: 5:   3 Adding Movements with same direction
  169.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  170.    wt: 5:   1 Integers as Coordinates
  171.    wt: 5:   Long Division Backwards more
  172.    wt: 5:   Long Division Backward
  173.    wt: 5:   12 Why Long Division Works Take III
  174.    wt: 5:   11 Another Single Digit Divisor Example
  175.    wt: 5:   9 Why Long Division Works Take II
  176.    wt: 5:   8 Correcting the Mistake
  177.    wt: 5:   7 Long Divison Mistake Catching
  178.    wt: 5:   5 Long Division Include Zeroes or not
  179.    wt: 5:   4 Division with 2 Digit Divsors
  180.    wt: 5:   3 Division Single Digit Divisor Example
  181.    wt: 5:   2 Division with Single Digit Divisors
  182.    wt: 5:   1 Divsion Physical Examples
  183.    wt: 5:   D Decimal Multiplication Methods Derived
  184.    wt: 5:   C Counting Areas with Powers of Ten
  185.    wt: 5:   B Powers of Ten
  186.    wt: 5:   A Elementary Basis for Multiplication Methods
  187.    wt: 5:   5 Decimal Fraction Multiplication
  188.    wt: 5:   3 More One Digit Multipliers
  189.    wt: 5:   2 One Digit Multipliers
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Power Notation in Decimal Expansion
  193.    wt: 5:   1 Why 3 times 5 gives 15
  194.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  195.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  196.    wt: 5:   Formula Evaluation how to show work
  197.    wt: 5:   Expression Evaluation how to show work
  198.    wt: 5:   The 20 Times Table
  199.    wt: 5:   The 12 Times Table Visually
  200.    wt: 5:   About folder contents
  201.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  202.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  203.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  204.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  205.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  206.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  207.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  208.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  209.    wt: 3:   6 Field Properties of Complex Number
  210.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  211.    wt: 3:   3 Trigonometric Ratios sine and cosine
  212.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  213.    wt: 3:   6 Polar Multiplication and Rotation
  214.    wt: 3:   6 Ruler and compass Angle Bisection
  215.    wt: 3:   11 Signed Number Addition and Addition Properties
  216.    wt: 3:   8 Division and Mulplication of Compound Fractions
  217.    wt: 3:   2 Combing Counts Addition Skills and Principles
  218.    wt: 3:   4 Rates Ratios and Proporitionality
  219.    wt: 3:   2 More and Less Than for Counts and Measures
  220.    wt: 3:   10 Real Number Lengths and Signs
  221.    wt: 3:   5 Rational Numbers More
  222.    wt: 3:   4 Rational Numbers
  223.    wt: 3:   1 Whole and Natural Numbers
  224.    wt: 3:   6 Three Examples
  225.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  226.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  227.    wt: 3:   I. Logic and language skills
  228.    wt: 3:   How to Build Skills and Confidence
  229.    wt: 3:   7 Games and Activities for Instruction
  230.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  231.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  232.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  233.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  234.    wt: 2:   Ramblings Extrinsic numbers theory
  235.    wt: 2:   2 Reading and Writing Skills
  236.    wt: 2:   Ages 12 to 14 Skills with take home value
  237.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  238.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  239.    wt: 2:   9 Summary Degrees to Radians and back
  240.    wt: 2:   1 Degrees and Radians Introduction
  241.    wt: 2:   Vector and Complex Number Applet
  242.    wt: 2:   Parallel Lines and Parallel Transversals
  243.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  244.    wt: 2:   Parallel Lines and Interior Angles
  245.    wt: 2:   14 cosine even and sine and tangent are odd
  246.    wt: 2:   21 Logarithms Powers and Exponentials
  247.    wt: 2:   20 N th Roots of Complex Numbers
  248.    wt: 2:   16 References and Originality Question
  249.    wt: 2:   13 Trig Formulas for dot and cross Products
  250.    wt: 2:   12 cis formulas for sine cosines and tangent
  251.    wt: 2:   11 sine and cosine double triple angle formulas
  252.    wt: 2:   9 The complex number valued trig function cis
  253.    wt: 2:   2 Complex Numbers made easier we hope
  254.    wt: 2:   Appetizer A Complex Number Applet
  255.    wt: 2:   7 Trignometric Ratios Unit Circle
  256.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  257.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  258.    wt: 2:   10 Midpoint of [a b] and [b a]
  259.    wt: 2:   7 Exercises to test skill and concept mastery
  260.    wt: 2:   6 Intersection of lines by solving linear systems
  261.    wt: 2:   1 Numerical view of lines and their equations
  262.    wt: 2:   What is and is not here
  263.    wt: 2:   11 Triangle Inequality
  264.    wt: 2:   7 Complex Numbers Appetizer
  265.    wt: 2:   5 Cartesian Addition and Translation
  266.    wt: 2:   4 Polar Coordinates to and from
  267.    wt: 2:   PS H Distributive Law For Complex Numbers
  268.    wt: 2:   16 Angles Subtended By Chords and Diameters
  269.    wt: 2:   1 Initial Concepts and Terms
  270.    wt: 2:   3 Lengths and Areas on Maps and Plans
  271.    wt: 2:   musings do not puiblish real numbers
  272.    wt: 2:   A Modular and Remainder Arithmetic
  273.    wt: 2:   A Signed Number Arithmetic Review
  274.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  275.    wt: 2:   22 Multiplication of Signed Numbers
  276.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  277.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  278.    wt: 2:   13 Arrows and Vectors in a Plane
  279.    wt: 2:   12 Real Numbers Line Signed Coordinates
  280.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  281.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  282.    wt: 2:   1 Fractions with Finite Decimal Expansions
  283.    wt: 2:   B Decimal Comparison and Subtraction
  284.    wt: 2:   6 Column Methods for Decimal Multiplication
  285.    wt: 2:   5 Distributive Law for Whole Numbers
  286.    wt: 2:   3 Multiplicative Counting Skills Principles
  287.    wt: 2:   1 The Counting Origins of Numbers
  288.    wt: 2:   5 Proportionality in Equivalent Fractions
  289.    wt: 2:   6 Equations and Systems Equivalent or Implied
  290.    wt: 2:   5 Equality in Algebra
  291.    wt: 2:   4 Subtraction and Division Axioms
  292.    wt: 2:   2 Addition and Multiplication Axioms
  293.    wt: 2:   4 Comparison of Negative Numbers
  294.    wt: 2:   3 More and Less Than with Unlike Signs
  295.    wt: 2:   1 Real Numbers Comparison
  296.    wt: 2:   16 Real Numbers Comparison
  297.    wt: 2:   15 Real Number Division
  298.    wt: 2:   14 Real Number Multiplication
  299.    wt: 2:   13 Real Number Subtraction
  300.    wt: 2:   12 Real Number Additive Inverses or Negatives
  301.    wt: 2:   11 Real Number Addition
  302.    wt: 2:   8 Coordinates for Maps and Planes
  303.    wt: 2:   7 Real Numbers as Line Cordinates
  304.    wt: 2:   6 Unsigned Real Numbers
  305.    wt: 2:   3 Fractions
  306.    wt: 2:   3 Geometric Formulas and Function Notation
  307.    wt: 2:   1 Formulas Dependence and Function Notation
  308.    wt: 2:   Skill Development Notes
  309.    wt: 2:   10 One Example
  310.    wt: 2:   9 Three Examples
  311.    wt: 2:   8 One Example
  312.    wt: 2:   7 Two Examples
  313.    wt: 2:   5 Three Examples
  314.    wt: 2:   4 Two Examples
  315.    wt: 2:   3 Two Examples
  316.    wt: 2:   2 Three Examples
  317.    wt: 2:   5 Talking about Numbers and Quantities
  318.    wt: 2:   4 A Brief Story of numbers and algebra
  319.    wt: 2:   016 Numbering Occidental Calendar Days
  320.    wt: 2:   015 School and work day counting tables
  321.    wt: 2:   011 Division of Time Intervals By Numbers
  322.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  323.    wt: 2:   4 Mixing and Changing Units of Time
  324.    wt: 2:   3 Units and Lengths of Time
  325.    wt: 2:   2 Time and Date Matters in School
  326.    wt: 2:   1 Intro of Kids To Time Date Skills
  327.    wt: 2:   Example 1. Area Between x and x squared
  328.    wt: 2:   1 Chain Rule in Reverse Integration Method
  329.    wt: 2:   38 Formulas and derivatives for powers and roots
  330.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  331.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  332.    wt: 2:   9 Limits Continuity and Composition
  333.    wt: 2:   5 Jumps and absence of unlimited error control
  334.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  335.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  336.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  337.    wt: 2:   Appendix E. How To Study Mathematics and Why
  338.    wt: 2:   Appendix D. What to do in School and Why
  339.    wt: 2:   Chapter 31 Direct and Indirect Reason
  340.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  341.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  342.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  343.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  344.    wt: 2:   Chapter 20. Degrees and Radians
  345.    wt: 2:   Chapter 19. Functions and Sets
  346.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  347.    wt: 2:   Chapter 12. Shorthand Usage Guide
  348.    wt: 2:   Chapter 11. Why Shorthand
  349.    wt: 2:   Chapter 10 Describing and Changing Calculations
  350.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  351.    wt: 2:   Chapter 8 Three Skills For Algebra
  352.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  353.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  354.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  355.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  356.    wt: 2:   R Why Learn Mathematics Skills
  357.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  358.    wt: 2:   O On Learning Mathematics and Science
  359.    wt: 2:   L Skills with take home value
  360.    wt: 2:   N Improving Marks on Tests and Finals
  361.    wt: 2:   J. More on written work and showing skill
  362.    wt: 2:   H Jigsaw puzzles and problem solving
  363.    wt: 2:   G. Written work formats for developing and showing skill
  364.    wt: 2:   E. When and how to correct errors
  365.    wt: 1:   Appendix 1 primary and preschool mathematic
  366.    wt: 1:   G LAMP Introduction Problem Solving Skills
  367.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  368.    wt: 1:   Skills Chapter 5 Calculus
  369.    wt: 1:   Skills Chapter 4 Logic
  370.    wt: 1:   Skills Chapter 3 Algebra
  371.    wt: 1:   Skills Chapter 2 Geometry
  372.    wt: 1:   Skills Chapter 1 Arithmetic
  373.    wt: 1:   Skills Chapter 0 Introduction
  374.    wt: 1:   7 logic review and decimals an odd combination
  375.    wt: 1:   5 logarithms and exponentials etc
  376.    wt: 1:   2 arithmetic with signed numbers
  377.    wt: 1:   1 arithmetic with unsigned numbers
  378.    wt: 1:   key notes and themes
  379.    wt: 1:   what should be learnt and When
  380.    wt: 1:   standards for course material
  381.    wt: 1:   Operational Viewpoint to Value
  382.    wt: 1:   Theory of Knowledge
  383.    wt: 1:   Education in mathematics science and technology
  384.    wt: 1:   Motivation and Context Problem
  385.    wt: 1:   fairness and inductive principles for instruction
  386.    wt: 1:   Home Tutoring and Home Schooling
  387.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  388.    wt: 1:   24 Standards For Skill Develoment Take II
  389.    wt: 1:   24 Standards For Skill Develoment
  390.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  391.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  392.    wt: 1:   17 Math Booklets for children and young teenagers
  393.    wt: 1:   14 Multiplication and Times Tables
  394.    wt: 1:   13 Addition and Addition Tables
  395.    wt: 1:   12 Goals and Objectives For Mathematics
  396.    wt: 1:   11 Help and Defend Your Child or Teens Education
  397.    wt: 1:   9 Streaming by Student Cooperation
  398.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  399.    wt: 1:   5 Patience Please for Yourself and Your Charges
  400.    wt: 1:   4 Learning Takes Time and Effort
  401.    wt: 1:   1 Speaking Skills
  402.    wt: 1:   Ages 12 to 14 Geometry
  403.    wt: 1:   Ages 12 to 14 Arithmetic
  404.    wt: 1:   Ages 10 to 12 Geometry
  405.    wt: 1:   Ages 10 to 12 Arithmetic
  406.    wt: 1:   Ages 9 to 10
  407.    wt: 1:   Ages 8 to 9
  408.    wt: 1:   Ages 7 to 8
  409.    wt: 1:   Ages 6 to 7
  410.    wt: 1:   Ages 4 plus to 5 plus
  411.    wt: 1:   Ages 3 plus to 4 plus
  412.    wt: 1:   26 Function definitions done and coming
  413.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  414.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  415.    wt: 1:   19 Horizontal line rule and method
  416.    wt: 1:   18 Vertical Line Rule and Method
  417.    wt: 1:   17 Function maxima minima and their location
  418.    wt: 1:   11 Function Domain Range Source and Targets
  419.    wt: 1:   9 Set theory term relation possible origins
  420.    wt: 1:   8 Set view of relations and functions
  421.    wt: 1:   6 Set Existence Formation and Notation
  422.    wt: 1:   4 Function notation in and beyond mathematics
  423.    wt: 1:   9 quadratics physical and further context
  424.    wt: 1:   11 Growth and Decay in Biology
  425.    wt: 1:   10 Exponential Growth and Decay Models
  426.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  427.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  428.    wt: 1:   8 Notes for instructors or tutors
  429.    wt: 1:   7 Links Lessons Elsewhere
  430.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  431.    wt: 1:   4 Polynomials Long division linear divisor
  432.    wt: 1:   3 Polynomials Multiplication Addition
  433.    wt: 1:   2 Column Multiplication Method
  434.    wt: 1:   1 Polynomials Distributive Law
  435.    wt: 1:   16 cotangent function Definition Graph and Inverse
  436.    wt: 1:   15 cosecant function Definition Graph and Inverse
  437.    wt: 1:   14 secant function Definition Graph and Inverse
  438.    wt: 1:   13 cosecant function Definition Graph and Inverse
  439.    wt: 1:   8 Radian Measures of Common Angles
  440.    wt: 1:   7 Radian Measures in special Triangles
  441.    wt: 1:   6 Radian Measure to Degrees
  442.    wt: 1:   5 Degrees to Radian Measure
  443.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  444.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  445.    wt: 1:   2 Radian Measure Numerical Value of one degree
  446.    wt: 1:   A Global Time and Navigation
  447.    wt: 1:   15 Dot and Cross Product
  448.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  449.    wt: 1:   4 graphing y=Asin(x c)
  450.    wt: 1:   3 graphing y=f(x c) plus K
  451.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  452.    wt: 1:   1 graphing y=f(x a)
  453.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  454.    wt: 1:   Triangle Angles Sum To 180 Degrees
  455.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  456.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  457.    wt: 1:   Straight Lines ASA Intersection Study More
  458.    wt: 1:   Straight Lines ASA Intersection Study
  459.    wt: 1:   Straight Lines Instersection Solving Equations
  460.    wt: 1:   Straight Lines Intersection of
  461.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  462.    wt: 1:   C Straight Lines Slope from Coordinates
  463.    wt: 1:   B Straight Line Slope Scaling Properties More
  464.    wt: 1:   A Straight Line Slope Scaling Properties
  465.    wt: 1:   14 Straight Lines Equations General Case
  466.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  467.    wt: 1:   12 Straight Lines Graphing mx plus b
  468.    wt: 1:   11 Straight Lines Graphing y=mx
  469.    wt: 1:   10 Straight Lines through Origin Equations More
  470.    wt: 1:   9 Straight Lines through Origin Equations
  471.    wt: 1:   8 Straight Lines Equation for vertical
  472.    wt: 1:   7 Tangent Function is odd on this domain
  473.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  474.    wt: 1:   5 Tangent Function Graph
  475.    wt: 1:   4 Tangent Function Properties
  476.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  477.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  478.    wt: 1:   1 Straight Lines Slope Concept
  479.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  480.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  481.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  482.    wt: 1:   29 secant cosecant and cotangent for acute angles
  483.    wt: 1:   27 Logarithmic use of products of sines and cosines
  484.    wt: 1:   26 Formulas for products of sines and cosines
  485.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  486.    wt: 1:   21 sine and cosine Half Angle Formulas
  487.    wt: 1:   20 sine and cosine Double Angle Formulas
  488.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  489.    wt: 1:   17E Trig Formulas for dot and cross Products
  490.    wt: 1:   17D cis formulas for sine cosines and tangent
  491.    wt: 1:   17C sine and cosine double triple angle formulas
  492.    wt: 1:   17A The complex number valued trig function cis
  493.    wt: 1:   10 Graphs of sines and cosines many periods
  494.    wt: 1:   9 Graphs of sine and cosine over one period
  495.    wt: 1:   7 period of sine and cosine
  496.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  497.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  498.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  499.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  500.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  501.    wt: 1:   19 N th Roots of Unity
  502.    wt: 1:   18 Sixth Roots of Unity
  503.    wt: 1:   17 Cube Roots of unity
  504.    wt: 1:   15 Pythagorean Theorem Converse
  505.    wt: 1:   14 Law of cosines
  506.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  507.    wt: 1:   8 Unit Circle Development of Trigonometry
  508.    wt: 1:   7 Second Way to Calculate Products
  509.    wt: 1:   5 An Easy Proof of the Distributive Law
  510.    wt: 1:   4 Multiplication Properties
  511.    wt: 1:   3 Addition Properties
  512.    wt: 1:   1 Rectangular Polar Coordinates Review
  513.    wt: 1:   8 Triangles Cascade Problem Solving
  514.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  515.    wt: 1:   1 Angle Measurement with Degrees
  516.    wt: 1:   Why Trigonometry the whyslopes view
  517.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  518.    wt: 1:   8 Similarity of Triangles and Polygons
  519.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  520.    wt: 1:   Four Simple Exercises
  521.    wt: 1:   12 Links Lessons elsewhere
  522.    wt: 1:   11 A Partial Summary
  523.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  524.    wt: 1:   8 Mid Point Formula
  525.    wt: 1:   5 Algebraic View of Slopes
  526.    wt: 1:   4 Equations for lines three forms
  527.    wt: 1:   3 Slope product for perpendicular lines
  528.    wt: 1:   2 point slope equation for a line
  529.    wt: 1:   13 Pythagorean spatial distance formulas
  530.    wt: 1:   12 Spatial Coordinates
  531.    wt: 1:   10 Pythagorean plane distance formula
  532.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  533.    wt: 1:   8 Distance Between Points on a Line
  534.    wt: 1:   3 Rectangular Coordinates Review
  535.    wt: 1:   2 Cartesian Coordinates with signs
  536.    wt: 1:   1 Cartesian Coordinates sans signs
  537.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  538.    wt: 1:   PS G Rotation Distributes over Addition
  539.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  540.    wt: 1:   PS E Multiplication with Polar Coordinates
  541.    wt: 1:   PS D Addition with Cartesian Coordinates
  542.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  543.    wt: 1:   PS B Parallelogram Construction Methods
  544.    wt: 1:   PS A Kite Construction Methods
  545.    wt: 1:   21 Parallelograms
  546.    wt: 1:   19 Right Triangle Similarity
  547.    wt: 1:   18 Triangle Similarity Take 1
  548.    wt: 1:   17 Right Bisectors of Triangle Sides
  549.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  550.    wt: 1:   14 Parallel Lines Postulate
  551.    wt: 1:   13 Angle Side Angle Failure
  552.    wt: 1:   12 Side Angle Side Failure
  553.    wt: 1:   11 Triangle Construction Fails
  554.    wt: 1:   10 Dropping a perpendicular to line
  555.    wt: 1:   9 Construction of a right bisector
  556.    wt: 1:   8 Isoceles Triangles
  557.    wt: 1:   7 Angle Side Angle
  558.    wt: 1:   5 Side Angle Side
  559.    wt: 1:   4 Side Side Side
  560.    wt: 1:   3 Isometry of Triangles Congruence
  561.    wt: 1:   2 Correspondence between Triangles
  562.    wt: 1:   Short Course on Euclidean Geometry
  563.    wt: 1:   26 More Less Greater Than Comparison
  564.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  565.    wt: 1:   23 Distributive Law Two Derivations
  566.    wt: 1:   21 Addition of Multiples of a Single Vector
  567.    wt: 1:   19 Signed Multiples of Vectors
  568.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  569.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  570.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  571.    wt: 1:   15 Head to Tails in place Addition Associative
  572.    wt: 1:   9 Division with Digits after Decimal Point
  573.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  574.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  575.    wt: 1:   4 Location of Point in Decimal Addition
  576.    wt: 1:   3 Location of Point in Decimal Multiplication
  577.    wt: 1:   2 Counting Digits in Decimal Multiplication
  578.    wt: 1:   E Long Division Methods more
  579.    wt: 1:   D Long Division Methods
  580.    wt: 1:   C Three Decimal Subtraction Methods
  581.    wt: 1:   A Decimal Addition Columm Methods
  582.    wt: 1:   8 Column Multiplication Methods in General
  583.    wt: 1:   7 Decimals Multiplication Methods Examples
  584.    wt: 1:   4 Commutative Law Groups Counting Form
  585.    wt: 1:   4 Fraction Operations Axiomatic Development
  586.    wt: 1:   2 Fraction Operations Physical Development
  587.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  588.    wt: 1:   3 Proportionality Examples
  589.    wt: 1:   2 Algebraic View
  590.    wt: 1:   1 What is Proportionality
  591.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  592.    wt: 1:   6 Compound Interest Forward and Backwards
  593.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  594.    wt: 1:   3 Product Axioms Two Forms
  595.    wt: 1:   1 Equivalent Computation Rules
  596.    wt: 1:   5 Greater More Less Than Signs in General
  597.    wt: 1:   9 Coordinates for Regions in Space
  598.    wt: 1:   2 Integers
  599.    wt: 1:   5 Independent versus Dependent Variables
  600.    wt: 1:   4 Changing Letters
  601.    wt: 1:   2 Computation Rules Evaluation
  602.    wt: 1:   3 GE III Equation Addition and Multiplication
  603.    wt: 1:   6 Algebraic Solution Example
  604.    wt: 1:   1 Written work formats for developing and showing skill
  605.    wt: 1:   9 Sets in Probability and Statistics
  606.    wt: 1:   8 Sets of Numbers
  607.    wt: 1:   1 Three Skills For Algebra
  608.    wt: 1:   014 Counting Days with Calendars
  609.    wt: 1:   013 Travel Time Tables
  610.    wt: 1:   012 Division of Time Intervals by Time Intervals
  611.    wt: 1:   010 Repeated Addition of Time Intervals
  612.    wt: 1:   8 Addition of Time Intervals via subtotaling
  613.    wt: 1:   7 Addition of Time Intervals
  614.    wt: 1:   6 How long is a million seconds
  615.    wt: 1:   5 Conversion Arithmetic
  616.    wt: 1:   Example 2 volume of a cone
  617.    wt: 1:   Example 1 volume of a pyramid
  618.    wt: 1:   Volume of Solid by Cross Sections Lesson
  619.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  620.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  621.    wt: 1:   Example 4 with x function of y
  622.    wt: 1:   Example 3
  623.    wt: 1:   Example 2
  624.    wt: 1:   Example 1
  625.    wt: 1:   Area Between Curves Lesson Take 2
  626.    wt: 1:   Area Between Curves Lesson Take 1
  627.    wt: 1:   Summary
  628.    wt: 1:   A Related Material in Volume 3
  629.    wt: 1:   5 Area Under Curve Exercise
  630.    wt: 1:   4 Definite Integrals Evaluation Exercises
  631.    wt: 1:   3 Two Chain Rule Method Exercises
  632.    wt: 1:   2 Indefinite Integrals Exercises
  633.    wt: 1:   28 Chain Rule Preparation for a Proof
  634.    wt: 1:   17 Derivatives of quotients of sine and cosine
  635.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  636.    wt: 1:   15 sine and cosine derivatives 3rd step
  637.    wt: 1:   14 sine and cosine derivatives 2nd step
  638.    wt: 1:   13 sine and cosine derivatives 1st step
  639.    wt: 1:   11 Limits at infinity Three Examples
  640.    wt: 1:   10 Three one sided limits with infinite values
  641.    wt: 1:   8 Four Animated Examples
  642.    wt: 1:   7 Evaluation by immediate or delayed substitution
  643.    wt: 1:   6 Continuity at a point
  644.    wt: 1:   4 Numerical properties
  645.    wt: 1:   3 Decimal insights for limits continuity convergence
  646.    wt: 1:   2 Algebraic codification
  647.    wt: 1:   1 Numerical introduction
  648.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  649.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  650.    wt: 1:   PostScript For and Against Decimal Perspectives
  651.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  652.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  653.    wt: 1:   Chapter 22 Complex Numbers
  654.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  655.    wt: 1:   Chapter 18. Slopes Areas Integration
  656.    wt: 1:   Chapter 13. Acceleration
  657.    wt: 1:   Chapter 12. Units and Slopes
  658.    wt: 1:   Chapter 10 Slopes and Units
  659.    wt: 1:   Chapter 7 Slopes and Velocity
  660.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  661.    wt: 1:   Chapter 2. Slopes and Ski Trails
  662.    wt: 1:   Postscript More on Better Performance
  663.    wt: 1:   Postscript For Better Performance
  664.    wt: 1:   Appendix C. How to Read
  665.    wt: 1:   Appendix B. How To Learn
  666.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  667.    wt: 1:   Chapter 30 Truth Tables
  668.    wt: 1:   Chapter 28 Occurrence Tables
  669.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  670.    wt: 1:   Chapter 25. Mathematical Induction Examples
  671.    wt: 1:   Chapter 23. Notation For Sums
  672.    wt: 1:   Chapter 21. Third Reading Guide
  673.    wt: 1:   Chapter 18. Rules for Algebra
  674.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  675.    wt: 1:   Chapter 16. Painless Theorem Proving
  676.    wt: 1:   Chapter 15. Solving Linear Equations
  677.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  678.    wt: 1:   Chapter 13. Second Reading Guide
  679.    wt: 1:   Postscript What is a Variable
  680.    wt: 1:   Solutions For Arithmetic Exercises
  681.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  682.    wt: 1:   Chapter 6 Change of Language
  683.    wt: 1:   Chapter 4 Longer Chains of Reason
  684.    wt: 1:   Chapter 3 Chains of Reason
  685.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  686.    wt: 1:   Foreword
  687.    wt: 1:   Chapter 2 For and Against Mathematics
  688.    wt: 1:   Postscript B More on Story Telling and Reason
  689.    wt: 1:   Chapter 24 Direct and Indirect Reason
  690.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  691.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  692.    wt: 1:   Chapter 18 Sense and Knowledge
  693.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  694.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  695.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  696.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  697.    wt: 1:   S Adding words to algebra
  698.    wt: 1:   N Mathematics Prepare for College Studies
  699.    wt: 1:   M Words to extend arithmetic
  700.    wt: 1:   H more Routine to non routine problem solving
  701.    wt: 1:   F. The student teacher tutor feedback loop
  702.    wt: 1:   D. Check work a must with a caution
  703.    wt: 1:   C. Domino effect of being careful
  704.    wt: 1:   B. Domino effect of errors
  705.    wt: 1:   A. Skill has to be seen to believed
  706.    wt: 1:   Chapter 8 Skipped Topics and Why
  707.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  708.    wt: 1:   Chapter 6 More Algebra and Geometry
  709.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  710.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  711.    wt: 1:   Helping the Blind in Logic and Mathematics
  712.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  713.    wt: 1:   More Algebra and Slope based Calculus Preview
  714.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  715.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  716.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  717.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  718.    wt: 1:   The Math Forum and Site Content
  719.    wt: 15:   C Equality for Fractions and Two Term Ratios and Fractions
  720.    wt: 12:   B Fractions and Two Term Ratios
  721.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  722.    wt: 12:   9 Improper Fractions and Mixed Numbers
  723.    wt: 11:   21 Reciprocals for Fractions and Wholes
  724.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  725.    wt: 10:   D Three Term Ratios
  726.    wt: 10:   22 Complex Compound Fractions
  727.    wt: 10:   20 Dividing Fractions the Why
  728.    wt: 10:   19 Dividing Fractions How TO
  729.    wt: 10:   17 Efficient Ways to Add and Subtract
  730.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  731.    wt: 10:   14 Adding and Subtracting with Like Denominators
  732.    wt: 10:   6 Multiplication of Mixed Numbers
  733.    wt: 10:   5 Equivalent Fractions
  734.    wt: 10:   Fraction Operations by Raising Terms A Simple Innovation

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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